AN INTRODUCTION TO MULTIGRID METHODS
P. Wesseling, Delft University of Technology, The Netherlands
Multigrid methods have been developing rapidly over the last fifteen years and are now a powerful tool for the efficient solution of elliptic and hyperbolic equations. This book is the only one of its kind that gives a complete introduction to multigrid methods for partial differential equations, without requiring an advanced knowledge of mathematics. Instead, it presupposes only a basic understanding of analysis. The volume begins with an up-to-date introduction to the literature. Subsequent chapters present an extensive treatment of applications to computation fluid dynamics and discuss topics such as the basic multigrid principle, smoothing methods and their Fourier analysis and results of multigrid convergence theory.
Introduction; The Essential Principle of Multigrid Methods for Partial Differential Equations; Finite Difference and Finite Volume Discretization; Basic Iterative Methods; Prolongation and Restriction; Coarse Grid Approximation and Two-Grid Convergence; Smoothing Analysis; Multigrid Algorithms; Applications of Multigrid Methods in Computational Fluid Dynamics; References; Index.
John Wiley & Sons Ltd, 1992. Corrected Reprint. Philadelpha:
R.T. Edwards, Inc., 2004.
Ordering information: http://www.rtedwards.com/books/080/index.html, http://www.amazon.com
Introductory list price: 69 USD
This book has gone out of print in 1999. A corrected reprint has been published by R.T. Edwards, Inc.Errata